Marginal Rate of Technical Substitution (MRTS) is an important economic concept which measures the rate at which one input can be substituted for another input while keeping the production output the same. It is used to measure the productivity of capital and labor in various sectors of an economy.

MRTS is an important concept in production theory and is determined by specific production functions. The production function gives all possible output combinations of given inputs, also known as an isoquant curve. The MRTS is the slope of this isoquant curve, which shows the rate at which a firm is willing to substitute capital for labor, or vice versa, to maintain the same output level when some constraint changes.

An example of the MRTS would be a manufacturer producing a certain number of goods. The company is able to produce goods faster with more machines, but it requires fewer workers. The MRTS measures the point at which the company will substitute one labor hour for one machine hour in order to maintain the same level of production. In general, a firm’s MRTS will be higher when labor is more productive than capital, as the firm can switch to labor-intensive alternative production methods.

The MRTS is an important concept to consider when determining the best combination of inputs for a production process. The effects of diminishing returns and technological progress can be measured using the MRTS. For example, if the MRTS is decreasing, this could indicate that the firm is reaching the point of diminishing returns and may need to switch inputs.

In conclusion, marginal rate of technical substitution is an important economic concept used to measure the productivity of different inputs and determine the best combination of inputs to achieve a desired output level. It is a useful tool for firms to evaluate their production efficiency, as it measures the rate at which one input can be substituted for another input while still maintaining output levels.